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Mineral Cation Valence Uncertainty Range Tool

Continuous valence-mixture charge range; does not assert that intermediate integer valence states exist.

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Description

Add cation count times each valence bound to known charge and test whether anion charge lies inclusively in that interval.

Stoichiometric calculations translate supplied amounts, formula counts, site occupancies, and valences into a common formula-unit basis. Arithmetic charge or occupancy balance does not prove that a mineral composition is chemically realizable.

Add cation count times each valence bound to known charge and test whether anion charge lies inclusively in that interval.

When to use this tool

Use Mineral Cation Valence Uncertainty Range when you need one supplied-formula, charge, or occupancy term.

How to use the tool and how it works

  1. Enter cationCount, minimumValence, maximumValence, knownPositiveCharge, anionNegativeCharge. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read minimumPositiveCharge, maximumPositiveCharge, chargeBalancePossible. Inspect chargeBalancePossible before interpreting the associated values.

Require nonnegative cationCount, knownPositiveCharge, and anionNegativeCharge, with nonnegative minimumValence no greater than maximumValence. Add cation count times each valence bound to known charge and test whether anion charge lies inclusively in that interval.1

Input fieldMeaning and unitsAccepted input
cationCountCation CountRequired. Finite number; minimum 0.
minimumValenceMinimum ValenceRequired. Finite number; minimum 0.
maximumValenceMaximum ValenceRequired. Finite number.
knownPositiveChargeKnown Positive ChargeRequired. Finite number; minimum 0.
anionNegativeChargeAnion Negative ChargeRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
minimumPositiveChargeMinimum Positive ChargeRequired. Finite number.
maximumPositiveChargeMaximum Positive ChargeRequired. Finite number.
chargeBalancePossibleCharge Balance PossibleRequired. Boolean.
json
{
  "input": {
    "cationCount": 2,
    "minimumValence": 2,
    "maximumValence": 3,
    "knownPositiveCharge": 4,
    "anionNegativeCharge": 9
  },
  "output": {
    "minimumPositiveCharge": 8,
    "maximumPositiveCharge": 10,
    "chargeBalancePossible": true
  }
}

Limitations and assumptions

  • Anion charge is supplied as a positive magnitude. Possible interval balance does not prove that discrete oxidation states, mineral sites, or a chemically realizable composition achieve it.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Normalize and evaluate the complete mineral analysis using the intended chemical model. Verify formulas, molar masses, oxidation states, site capacities, and analytical uncertainty independently.

References

  1. Calculation and input contract: geochemistry/mineral-cation-valence-uncertainty-range — tool.io

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